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9444459897856 = 21013727012
BaseRepresentation
bin1000100101101111010110…
…1011010110010000000000
31020102212210122112000112201
42021123311223112100000
52214214223213212411
632030420332402544
71663224343365604
oct211336553262000
936385718460481
109444459897856
113011411439865
121086496616454
135367bb555ba9
142491858c3504
15115a133c83c1
hex896f5ad6400

9444459897856 has 99 divisors (see below), whose sum is σ = 19045679838787. Its totient is φ = 4681073868800.

The previous prime is 9444459897841. The next prime is 9444459897907. The reversal of 9444459897856 is 6587989544449.

The square root of 9444459897856 is 3073184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2117607040000 + 7326852857856 = 1455200^2 + 2706816^2 .

It is a Duffinian number.

Its product of digits (12541132800) is a multiple of the sum of its prime divisors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 9444459897856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13472838306 + ... + 13472839006.

Almost surely, 29444459897856 is an apocalyptic number.

9444459897856 is the 3073184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9444459897856

9444459897856 is an abundant number, since it is smaller than the sum of its proper divisors (9601219940931).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9444459897856 is an frugal number, since it uses more digits than its factorization.

9444459897856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 840 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 82.

The spelling of 9444459897856 in words is "nine trillion, four hundred forty-four billion, four hundred fifty-nine million, eight hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 701 1024 1096 1402 2192 2804 4384 5608 8768 11216 17536 18769 22432 35072 37538 44864 70144 75076 89728 96037 140288 150152 179456 192074 300304 358912 384148 491401 600608 717824 768296 982802 1201216 1536592 1965604 2402432 3073184 3931208 4804864 6146368 7862416 9609728 12292736 13157069 15724832 19219456 24585472 26314138 31449664 49170944 52628276 62899328 67321937 98341888 105256552 125798656 134643874 210513104 251597312 269287748 421026208 503194624 538575496 842052416 1077150992 1684104832 2154301984 3368209664 4308603968 6736419328 8617207936 9223105369 13472838656 17234415872 18446210738 34468831744 36892421476 68937663488 73784842952 147569685904 295139371808 590278743616 1180557487232 2361114974464 4722229948928 9444459897856